Multiply. Write your answer in simplest form. sqrt 2(-2 - sqrt 3) ______

Distribute sqrt(2): Distribute sqrt(2) to both terms inside the parentheses. sqrt(2)(-2 - sqrt(3)) = sqrt(2)*(-2) - sqrt(2)*sqrt(3)Multiply -2: Multiply sqrt(2) by -2. sqrt(2) * (-2) = -2sqrt(2)Multiply -sqrt(3): Multiply sqrt(2) by -sqrt(3). sqrt(2) * (-sqrt(3)) = -sqrt(2 * 3) = -sqrt(6)Combine the results: Combine the results from Step 2 and Step 3. -2sqrt(2) - sqrt(6) This is the simplest form of the expression.

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Multiply. Write your answer in simplest form. $\newline$ $\sqrt{2}(-2 - \sqrt{3})$

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Algebra 2

Simplify radical expressions using the distributive property

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Q. Multiply. Write your answer in simplest form.

\newline

\sqrt{2}(-2 - \sqrt{3})

Distribute $\sqrt{2}$ : Distribute $\sqrt{2}$ to both terms inside the parentheses. $\sqrt{2}(-2 - \sqrt{3}) = \sqrt{2}\cdot(-2) - \sqrt{2}\cdot\sqrt{3}$
Multiply $-2$ : Multiply $\sqrt{2}$ by $-2$ . $\sqrt{2} \times (-2) = -2\sqrt{2}$
Multiply $-\sqrt{3}$ : Multiply $\sqrt{2}$ by $-\sqrt{3}$ . $\newline$ $\sqrt{2} \times (-\sqrt{3})$ $\newline$ $= -\sqrt{2 \times 3}$ $\newline$ $= -\sqrt{6}$
Combine the results: Combine the results from Step $2$ and Step $3$ . $\newline$ $-2\sqrt{2} - \sqrt{6}$ $\newline$ This is the simplest form of the expression.